More on Graphs with Polynomially Solvable Maximum-Weight Clique Problem.

Abstract

This document gives a new bound on the number of maximal cliques in a graph along with a bound on the length of odd antiholes that the graph can contain. Based on these bounds a family of graphs with polynomially solvable maximum weight clique problem is identified using the edge-bicoloring approach developed in a a recent paper by Balas, Chvatal and Nesetril. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1986
Accession Number
ADA177222

Entities

People

  • Chang S. Yu
  • Egon Balas

Organizations

  • Carnegie Mellon University

Tags

Readers

  • Graph Algorithms and Convex Optimization.